Find the area of the square circumscribed around a circle of radius 83

The sides of the square are tangent to the circle, therefore, the segment drawn from the center of the circle to the point of tangency will be perpendicular to the side of the square and equal to the radius of the circle (By tangent property).
It turns out that the side of the square is equal to the diameter of the circle, or two radii, i.e. 2 * 83 = 166
The square area is equal to the product of the parties:
S = 166 * 166 = 27556
Answer: 27556